Question

The parallel sides of a trapezium are 8 m and 12 m long. If the area of the trapezium is 60 m2, find the distance between the parallel sides of the trapezium.​

Answer 1

Step-by-step explanation:

We have,

• Parallel sides of trapezium = 8 m and 12 m long.

• Area of trapezium = 60 m²

We need to find the distance between the parallel sides and we know that distance between parallel sides is nothing but height of trapezium :]

• Height = ?

__________________________

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$\bigstar\:\:\boxed{\boxed{\sf Area \: of \: trapezium \: = \: \dfrac{1}{2} \times (sum \: of \: parallel \: sides) \times Height}}\:\:\bigstar$

$:\implies \sf 60 = \dfrac{1}{2}\times (8+ 12) \times Height$

$:\implies \sf 60 = \dfrac{1}{2}\times 20 \times Height$

$:\implies \sf 60 = 10\times Height$

$:\implies \sf Height = \dfrac{60}{10}$

$:\implies \underline{ \boxed{\sf Height = 6 \: m}}$

$\therefore\:\underline{\textsf{Distance between the parallel sides of the trapezium is \textbf{6 meter}}}.$

Answer 2

✔ Given :-

• Parallel Sides = 8m and 12m.

• Area Of Trapezium = 60m²

✔ To Find :-

• Height Of Trapezium.

✔ Solution :-

We know that,

Formula For Area Of Trapezium :-

1/2 × (Sum Of Parallel Sides) × Height.

So, Put the values.

➛1/2 × 20 × Height = 60.

➛10 × Height = 60.

➛Height = 60/10.

➛Height = 6 metres.

Hence, the distance between the parallel sides of the trapezium = 6 metres.